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112210022000112 = 24371280311746513
BaseRepresentation
bin11001100000110111101110…
…100000000110010111110000
3112201022011200100211200011220
4121200313232200012113300
5104201422111113000422
61034352323353105040
732430622643543061
oct3140675640062760
9481264610750156
10112210022000112
11328320041231a3
12107030793b8180
134a7c48a275a7a
141d9cdcb920568
15ce8c9091ae5c
hex660dee8065f0

112210022000112 has 80 divisors (see below), whose sum is σ = 294063547085568. Its totient is φ = 36863373818880.

The previous prime is 112210022000099. The next prime is 112210022000177. The reversal of 112210022000112 is 211000220012211.

It is a junction number, because it is equal to n+sod(n) for n = 112210022000091 and 112210022000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3679368 + ... + 15425880.

Almost surely, 2112210022000112 is an apocalyptic number.

112210022000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112210022000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147031773542784).

112210022000112 is an abundant number, since it is smaller than the sum of its proper divisors (181853525085456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112210022000112 is a wasteful number, since it uses less digits than its factorization.

112210022000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11749398 (or 11749392 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112210022000112 its reverse (211000220012211), we get a palindrome (323210242012323).

The spelling of 112210022000112 in words is "one hundred twelve trillion, two hundred ten billion, twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 2803 3408 5606 8409 11212 16818 22424 33636 44848 67272 134544 199013 398026 597039 796052 1194078 1592104 2388156 3184208 4776312 9552624 11746513 23493026 35239539 46986052 70479078 93972104 140958156 187944208 281916312 563832624 834002423 1668004846 2502007269 3336009692 5004014538 6672019384 10008029076 13344038768 20016058152 32925475939 40032116304 65850951878 98776427817 131701903756 197552855634 263403807512 395105711268 526807615024 790211422536 1580422845072 2337708791669 4675417583338 7013126375007 9350835166676 14026252750014 18701670333352 28052505500028 37403340666704 56105011000056 112210022000112